科研进展----中国科学院数学与系统科学研究院

随机自适应线性二次型微分博弈（郭雷与合作者）
平面无穷调和函数非线性梯度的雅可比行列式及其应用（张翼与合作者）
一种Stokes-Darcy-Darcy模型及其多边形网格间断Galerkin方法（张晨松与合作者）
In this paper, we propose and numerically solve a model considering confined flow in fractured porous media coupled with free flow in conduits.
基于Helmholtz分解的窗口格林函数方法（殷涛与合作者）
复四维全纯辛流形上的戈帕库马·瓦法不变量（曹亚龙与合作者）
Using reduced Gromov–Witten theory, we define new invariants which capture the enumerative geometry of curves on holomorphic symplectic 4-folds.
关于拟线性流体静力Navier-Stokes方程的Gevrey解（张平与合作者）
We study the well-posedness of a hyperbolic quasi-linear version of hydrostatic Navier–Stokes system in $\mathbb R\times \mathbb T$ and prove th...
基于核的正则化系统辨识中正则化何时无法改进最小二乘估计（牟必强与合作者）
In the last decade, kernel-based regularization methods (KRMs) have been widely used for stable impulse response estimation in system identification.
求解双鞍点问题的广义逐次超松弛（GSOR）方法（戴彧虹与合作者）
The generalized successive overrelaxation (GSOR) method of Bai, Parlett, and Wang [Numer. Math., 102 (2005), pp. 1–38]
具有可加噪声的随机Klein–Gordon–Schr？dinger方程新的保结构格式（洪佳林与合作者）
Stochastic Klein–Gordon–Schr？dinger (KGS) equations are important mathematical models and describe the interaction between scalar nucleons and n...
调和拟拱形映射中的Riesz共轭函数定理（刘劲松与合作者）
We generalize the Riesz conjugate functions theorem for planar harmonic K-quasiregular mappings (when 1
面向广义线性反问题的最优感知矩阵设计（马俊杰与合作者）
We consider an inverse problem \boldsymbol {y}= f(\boldsymbol {Ax}) , where \boldsymbol {x}\in \mathbb {R}^{n} is the signal of interest, \boldsymb...
基于线性化图灵模型的网络系统的能控性（刘志新与合作者）
Turing’s model has been widely used to explain how simple, uniform structures can give rise to complex, patterned structures during the developmen...
关于三维Navier-Stokes方程大Fourier模式的长时间稳定性（张平与合作者）
In this paper, we first prove the global existence of strong solutions to 3-D incompressible Navier-Stokes equations with solenoidal initial data, ...
若干新的p-adic连分数算法的收敛性、有限性和周期性讨论（邓映蒲与合作者）
Classical continued fractions can be introduced in the field of $p$-adic numbers, where $p$-adic continued fractions offer novel perspectives on nu...
求解间断系数H(curl)-椭圆问题时Hiptmair–Xu预条件子的收敛性（胡齐芽）
This paper is the second of two articles, in which we aim to prove the convergence of the Hiptmair–Xu (HX) preconditioner (originally proposed by ...
多物理场景下解析物理不变量的神经算子学习（张瑞、孟琪、马志明）
Neural operators have been explored as surrogate models for simulating physical systems to overcome the limitations of traditional partial differen...
三波共振系统：经典和非局域（罗旭丹与合作者）
A discussion of three-wave interaction systems with rapidly decaying data is provided. Included are the classical and two nonlocal three-wave inter...
隐空间分片式非对抗生成自编码（张世华与合作者）
用机器学习模型评估不同季节下社会消费品与水污染的非线性关——以长江经济带为例（刘秀丽）
Consumer goods volume and their consumption structure significantly contribute to water pollution within economic zones. However, there remains a n...
减少环境足迹并促进健康：优化中国膳食结构（刘秀丽）
This paper aims to identify a dietary structure in China that can enhance people's health while significantly reducing environmental footprints. Al...